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Stage 5.1-3

10.04 Standard deviation

Interactive practice questions

A higher distribution means that the scores are more spread out from the mean.

Consider the following graphs.

a

Select the graph with the highest standard deviation.

A

B

C

D
b

Select the graph with the lowest standard deviation.

A

B

C

D
Easy
< 1min

Find the standard deviation of the following set of scores by using the statistics mode on a calculator:

$81,90,90,88,73,80,86,87,75,82,70,81,71,81,79,81,80,86,88,79$81,90,90,88,73,80,86,87,75,82,70,81,71,81,79,81,80,86,88,79

Easy
2min

Find the standard deviation of the following set of scores by using the statistics mode on a calculator:

$20,44,27,25,21,28,41,24,27,39,35,43,30,17,40$20,44,27,25,21,28,41,24,27,39,35,43,30,17,40

Easy
1min

Use technology to determine the standard deviation for the data represented by the frequency table.

Medium
1min
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Outcomes

MA5.2-10NA

connects algebraic and graphical representations of simple non-linear relationships

MA5.3-18SP

uses standard deviation to analyse data

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